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Adrian,

(1) Those contrasts compare one task against the average of the other three,
not necessarily that interesting. You can do zeros(1,11) 1 -1 0 0 to compare
C1 versus C2, other comparison would follow the same idea. See #2 for how
this is derived.

(2) Contrasts do not need to sum to 0 (see below); however, contrasts that
do not sum to zero must include both condition and subject effects. If you
want to see the logic behind this, here is a more complicated example:

This is for a design with 18 subjects in group 1, 9 subjects in group 2, 2
group terms and 2 conditions: Start with the simpliest element, single
subject in a single condition, build its contrast, repeat for all subjects
and conditions, and then combine the ones you want.

S1G1C1=[1 zeros(1,26) 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0]
S1G1C2=[1 zeros(1,26) 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0]
....
Now average your G1C1 and by summing and dividing by the number of subjects,
you'd get
G1C1=[ones(1,18)/18 zeros(1,9) 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0]
and
G1C2=[ones(1,18)/18 zeros(1,9) 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
0]
and
G2C1=[zeros(1,18) ones(1,9)/9 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0]
and
G2C2=[zeros(1,18) ones(1,9)/9 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0]

Now subtract G1C1-G1C2 AND G2C2-G2C1
G1C1-G1C2=[zeros(1,27) 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0]
and
G2C1-G2C2=[zeros(1,27) 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0]

Now subtract these two:
Interaction contrast=[zeros(1,27) 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0
0 0 0]

And enter it into SPM.

Best Regards, Donald McLaren
=================
D.G. McLaren, Ph.D.
Postdoctoral Research Fellow, GRECC, Bedford VA
Research Fellow, Department of Neurology, Massachusetts General Hospital and
Harvard Medical School
Office: (773) 406-2464
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On Thu, Nov 25, 2010 at 7:50 AM, Jonathan Peelle <[log in to unmask]> wrote:

> Hi Adrian
>
> > 1. Are the above contrasts correct.
>
> Yes, they seem fine.
>
>
> > 2. Why do the contrasts have to sum up to 0? I thought the F-contrast
> should be [zeros(4, 11) eye(4)], but SPM says "invalid contrast".
>
> When you have columns for subject effects, it's not possible to
> directly estimate the mean for certain conditions.  I.e., if you look
> at the indicators along the bottom of the design matrix, they will be
> gray.  This means you can't do the equivalent of a "[1 0...]" contrast
> with these columns, and thus an eye(4) contrast is similarly invalid
> (because each row contains an invalid contrast).  Comparing conditions
> is still fine (as you've discovered).
>
>
> > 3. Can I simply multiply my contrasts by -1 to test for "negative"
> effects?
>
> Yes.
>
> Hope this helps!
>
> Jonathan
>